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Simplifying 0.02(y + -2) + 0.18y = 0.08y + -0.01(10) Reorder the terms: 0.02(-2 + y) + 0.18y = 0.08y + -0.01(10) (-2 * 0.02 + y * 0.02) + 0.18y = 0.08y + -0.01(10) (-0.04 + 0.02y) + 0.18y = 0.08y + -0.01(10) Combine like terms: 0.02y + 0.18y = 0.2y -0.04 + 0.2y = 0.08y + -0.01(10) Multiply -0.01 * 10 -0.04 + 0.2y = 0.08y + -0.1 Reorder the terms: -0.04 + 0.2y = -0.1 + 0.08y Solving -0.04 + 0.2y = -0.1 + 0.08y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-0.08y' to each side of the equation. -0.04 + 0.2y + -0.08y = -0.1 + 0.08y + -0.08y Combine like terms: 0.2y + -0.08y = 0.12y -0.04 + 0.12y = -0.1 + 0.08y + -0.08y Combine like terms: 0.08y + -0.08y = 0.00 -0.04 + 0.12y = -0.1 + 0.00 -0.04 + 0.12y = -0.1 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.12y = -0.1 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.12y = -0.1 + 0.04 0.12y = -0.1 + 0.04 Combine like terms: -0.1 + 0.04 = -0.06 0.12y = -0.06 Divide each side by '0.12'. y = -0.5 Simplifying y = -0.5
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